Im pretty sure the answer is .52 I got this by subtracting the toatl by the sales tax and then dividing that total by how many pencils were bought : 6.70-.42=6.24, 6.24/12=54
Angle BDC is given as 38° but not drawn in the figure. Amateurs.
We calculate angle DBC
DBC = 180° - 96° - 38° = 180° - 134°
We won't bother subtracting because we're really after
angle ABD = 180° - DBC = 134°
Now we have a Law of Cosines situation,
AD² = AB² + BD² - 2(AB)(BD) cos ABD
AD = √( 5.8² + 27.3² - 2(5.8)(27.3) cos 134°)
AD ≈ 31.61 m
Answer: 31.6 m
Answer:
The length of one side of the square is 3.
Step-by-step explanation:
The perimeter of any given shape is all of the sides added together. So, the perimeter of the triangle is 5x + 4x + 3x. Added together, 12x.
The perimeter of the square is (x + 2)*4. Distributed, it's 4x + 8. Since we know they're equal, set it up like this:
12x = 4x + 8
You then find that x = 1. Plug that into one side of the square, x + 2, to get 3.
Answer:
c. 6.5 seconds.
Step-by-step explanation:
We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula 
, where h is the height of the plane at t seconds.
To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute 
in our given formula and solve for t as:
Take square root of both sides:
Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.
